A simple algebraic characterization of nonstandard extensions

DOI10.1090/S0002-9939-2011-11104-3zbMath1288.03050arXiv1101.0548MaRDI QIDQ2845565

Marco Forti

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0548

zbMATH Keywords

nonstandard extensions

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Ultraproducts and related constructions (03C20) Basic properties of first-order languages and structures (03C07) Nonstandard analysis (26E35)

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Representations of algebras in varieties generated by infinite primal algebras. ⋮ A topological interpretation of three Leibnizian principles within the functional extensions ⋮ A Topological Approach to Non-Archimedean Mathematics

Cites Work

• Model theory.
• Alpha-theory: An elementary axiomatics for nonstandard analysis
• Topological and nonstandard extensions
• Axiomatic foundations for Nonstandard Analysis
• Internal set theory: A new approach to nonstandard analysis
• A purely algebraic characterization of the hyperreal numbers
• Ultrafilters and Standard Functions in Non-Standard Arithmetic
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